Search a number
-
+
200101212322020 = 2232566115667107347
BaseRepresentation
bin101101011111110110110001…
…101011011111100011100100
3222020111111012112110201222200
4231133312301223133203210
5202211424240323301040
61545325121120454500
760101556403001532
oct5537666153374344
9866444175421880
10200101212322020
11588384a1800979
121a538b5717a430
138786603cb8519
14375ad43aa1152
15182015994a630
hexb5fdb1adf8e4

200101212322020 has 144 divisors (see below), whose sum is σ = 607936407169728. Its totient is φ = 53275699572480.

The previous prime is 200101212321977. The next prime is 200101212322021. The reversal of 200101212322020 is 20223212101002.

200101212322020 is a `hidden beast` number, since 200 + 1 + 0 + 121 + 2 + 322 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200101212321984 and 200101212322002.

It is not an unprimeable number, because it can be changed into a prime (200101212322021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1864005987 + ... + 1864113333.

Almost surely, 2200101212322020 is an apocalyptic number.

200101212322020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101212322020 is an abundant number, since it is smaller than the sum of its proper divisors (407835194847708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200101212322020 is a wasteful number, since it uses less digits than its factorization.

200101212322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123690 (or 123685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200101212322020 its reverse (20223212101002), we get a palindrome (220324424423022).

The spelling of 200101212322020 in words is "two hundred trillion, one hundred one billion, two hundred twelve million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 661 1322 1983 2644 3305 3966 5949 6610 7932 9915 11898 13220 15667 19830 23796 29745 31334 39660 47001 59490 62668 78335 94002 107347 118980 141003 156670 188004 214694 235005 282006 313340 322041 429388 470010 536735 564012 644082 705015 940020 966123 1073470 1288164 1410030 1610205 1932246 2146940 2820060 3220410 3864492 4830615 6440820 9661230 10355887 19322460 20711774 31067661 41423548 51779435 62135322 70956367 93202983 103558870 124270644 141912734 155338305 186405966 207117740 212869101 283825468 310676610 354781835 372811932 425738202 466014915 621353220 638607303 709563670 851476404 932029830 1064345505 1277214606 1419127340 1681805449 1864059660 2128691010 2554429212 3193036515 3363610898 4257382020 5045416347 6386073030 6727221796 8409027245 10090832694 12772146060 15136249041 16818054490 20181665388 25227081735 30272498082 33636108980 50454163470 60544996164 75681245205 100908326940 151362490410 302724980820 1111673401789 2223346803578 3335020205367 4446693607156 5558367008945 6670040410734 10005060616101 11116734017890 13340080821468 16675101026835 20010121232202 22233468035780 33350202053670 40020242464404 50025303080505 66700404107340 100050606161010 200101212322020